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Static analysis of higher order sandwich beams by weak form quadrature element method

机译：高阶夹层梁的弱形式正交分析法

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摘要

Based on the extended high order sandwich panel theory (EHSAPT) and differential quadrature rule, an N-node novel weak form quadrature sandwich beam element is established. Gauss Lobatto Legendre (GLL) points are utilized as element nodes and GLL quadrature is used to obtain the element stiffness matrix and work equivalent load. Detailed formulations are given. Convergence study is performed. Numerical results are presented for sandwich beams with different boundary conditions subjected to distributed loadings. Different materials for the face sheets and core of the beam structure are considered. It is shown that the proposed beam element can yield very accurate displacements and stresses as compared to theoretical solutions.
机译：基于扩展高阶夹心板理论（EHSAPT）和微分求积规则，建立了N节点新型弱形式正交夹心梁单元。高斯Lobatto Legendre（GLL）点用作单元节点，而GLL正交用于获得单元刚度矩阵和等效载荷。给出了详细的公式。进行收敛研究。数值结果给出了不同边界条件下夹心梁在分布荷载作用下的数值结果。考虑用于梁结构的面板和芯的不同材料。结果表明，与理论解相比，所提出的梁单元可以产生非常精确的位移和应力。

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  • 来源
    《Composite Structures》 |2014年第sepaaocta期|841-848|共8页
  • 作者

    Yu Wang; Xinwei Wang;

  • 作者单位

    State Key Laboratory of Mechanics and Control of Mechanical Structures, Nanjing University of Aeronautics and Astronautics, No. 29 Yudao Street, Nanjing 210016, China;

    State Key Laboratory of Mechanics and Control of Mechanical Structures, Nanjing University of Aeronautics and Astronautics, No. 29 Yudao Street, Nanjing 210016, China;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    Weak form quadrature element method; Sandwich beam; Soft core; GLL quadrature;

    机译：弱形式正交元法;夹心梁;软核;GLL正交;

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